Orbit Fit and Astrometric record for 13VC72

The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.

# Object: 13VC72    
# Created Mon Dec  6 02:12:16 2021
# Orbit generated from Bernstein formalism
# Fitting     27 observations of     28
# Arc:   4.94y
# First observation: 2013/10/04
#  Last observation: 2018/09/11
Preliminary a, adot, b, bdot, g, gdot:
  -0.000316   0.040620  -0.000102   0.002560   0.033125   0.000000
# Chi-squared of fit:    10.74 DOF:     48 RMS:  0.11
# Min/Max residuals:    -0.34    0.33
# Exact a, adot, b, bdot, g, gdot:
  1.860718E-05  3.950778E-02  1.309755E-06  2.483095E-03  3.264548E-02 -5.897311E-03
# Covariance matrix:
  2.5623E-13 -8.7559E-14 -5.3896E-15 -1.5555E-15  1.2227E-13 -2.0885E-13
 -8.7559E-14  2.0826E-13 -1.0818E-14  1.4443E-14  1.0025E-13  1.1683E-12
 -5.3896E-15 -1.0818E-14  1.5280E-13 -4.5361E-14 -1.7820E-14 -7.2042E-14
 -1.5555E-15  1.4443E-14 -4.5361E-14  2.1143E-14  1.0383E-14  9.0729E-14
  1.2227E-13  1.0025E-13 -1.7820E-14  1.0383E-14  2.7595E-13  7.1268E-13
 -2.0885E-13  1.1683E-12 -7.2042E-14  9.0729E-14  7.1268E-13  7.2871E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -13.260587   29.539825    0.321317   -0.217193   -0.922101  2456569.706878
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:          331.50774 +/-     0.008
Argument of Peri:      332.39733 +/-     0.014
Long of Asc Node:      103.56243 +/-     0.001
Inclination:            13.32635 +/-     0.000
Eccentricity:         0.25583189 +/-    0.0001
Semi-Major Axis:     39.61389305 +/-    0.0035
Time of Perihelion: 2463768.1570 +/-       1.8
Perihelion:          29.47939581 +/-    0.0039
Aphelion:            49.74839029 +/-    0.0053
Period (y)              249.3328 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           26.92166291 +/-    0.0004
Ecliptic Y           14.89027730 +/-    0.0002
Ecliptic Z           -7.02639234 +/-    0.0001
Ecliptic XDOT        -0.00201702 +/-    0.0000
Ecliptic YDOT         0.00266752 +/-    0.0000
Ecliptic ZDOT         0.00031628 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.55735225 +/-    0.0004
Geocenter to KBO     30.63211595 +/-    0.0005
# Hcoef:  8.60

The following table shows the complete astrometric record for 13VC72. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (13VC72) followed by the observatory code and reference code for the source of the astrometry.

2013 10  04.20610  02 08 27.721  -01 07 16.01  23.4g 13VC72    W84  C~55OI      
2013 11  04.08027  02 05 28.59   -01 23 36.4   23.8r 13VC72    W84  C~55OI      
2013 11  04.14330  02 05 28.21   -01 23 38.0         13VC72    W84  C~55OI      
2013 11  04.22553  02 05 27.72   -01 23 40.1         13VC72    W84  C~55OI      
2013 11  08.25167  02 05 04.217  -01 25 13.89  23.5r 13VC72    W84  C~55OI      
2013 12  28.11269  02 01 35.305  -01 28 03.71  23.3r 13VC72    W84  C~55OI      
2013 12  28.11407  02 01 35.291  -01 28 03.88  23.4i 13VC72    W84  C~55OI      
2014 08  19.38618  02 19 24.801  +00 14 37.66  23.6i 13VC72    W84  C~55OI      
2014 10  21.25060  02 15 13.622  -00 21 35.11  23.4r 13VC72    W84  C~55OI      
2014 12  16.13208  02 10 19.822  -00 35 55.55  24.3g 13VC72    W84  C~55OI      
2014 12  16.13344  02 10 19.825  -00 35 55.60  24.0r 13VC72    W84  C~55OI      
2014 12  16.13617  02 10 19.824  -00 35 55.43  24.3g 13VC72    W84  C~55OI      
2015 01  16.06359  02 09 26.843  -00 26 51.22  23.9r 13VC72    W84  C~55OI      
2015 12  17.13357  02 18 36.347  +00 19 23.42  22.6r 13VC72    W84  C~55OI      
2016 09  10.36303  02 35 25.483  +01 54 06.75  23.5r 13VC72    W84  C~55OI      
2016 11  04.19864  02 30 45.680  +01 23 59.01  24.0g 13VC72    W84  C~55OI      
2016 11  04.20001  02 30 45.662  +01 23 58.95  23.5r 13VC72    W84  C~55OI      
2016 11  04.20137  02 30 45.649  +01 23 58.90  23.1i 13VC72    W84  C~55OI      
2016 11  04.20274  02 30 45.625  +01 23 58.70  23.8g 13VC72    W84  C~55OI      
2016 11  04.20412  02 30 45.640  +01 23 58.87  23.5r 13VC72    W84  C~55OI      
2016 11  04.20551  02 30 45.618  +01 23 58.86  23.3i 13VC72    W84  C~55OI      
2017 09  18.32668  02 43 34.338  +02 46 20.33  23.5i 13VC72    W84  C~55OI      
2017 09  18.32804  02 43 34.332  +02 46 20.41  23.8r 13VC72    W84  C~55OI      
2017 11  23.14743  02 37 31.071  +02 14 30.07  23.0i 13VC72    W84  C~55OI      
2017 11  23.14883  02 37 31.048  +02 14 29.98  24.0g 13VC72    W84  C~55OI      
2017 11  23.15019  02 37 31.037  +02 14 29.86  23.4r 13VC72    W84  C~55OI      
2017 12  10.10460  02 36 01.896  +02 11 50.56  24.1g 13VC72    W84  C~55OI      
2018 09  11.34547  02 52 38.113  +03 47 01.85  23.0i 13VC72    W84  C~55OI      

The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.

     1   0.0000      0.00     0.11       0.00    -0.02
     2   0.0845  -2859.79    -0.01       9.66     0.06
     3   0.0847  -2865.69    -0.07      10.13     0.03
     4   0.0849  -2873.32    -0.06      10.70    -0.05
     5   0.0959  -3236.52     0.02      44.59     0.11
     6   0.2325  -6236.47     0.06     968.45     0.14
     7   0.2325  -6236.73    -0.17     968.37     0.02
     8   0.8739  10957.99     0.08    1196.60    -0.05
     9   1.0460   6662.79    -0.07     462.87     0.04
    10   1.1990   2228.48    -0.09    1182.16    -0.08
    11   1.1990   2228.50     0.00    1182.10    -0.17
    12   1.1990   2228.55     0.18    1182.26    -0.07
    13   1.2837   1671.39     0.14    1968.01    -0.15
    14   2.2010  10373.73 (   0.22)   1717.08 (   0.42)
    15   2.9354  26678.31     0.03    1818.68     0.05
    16   3.0855  22052.65     0.16    1568.58     0.02
    17   3.0855  22052.37     0.01    1568.61     0.04
    18   3.0855  22052.17    -0.06    1568.63     0.05
    19   3.0855  22051.76    -0.34    1568.57    -0.02
    20   3.0856  22052.03     0.07    1568.65     0.05
    21   3.0856  22051.71    -0.11    1568.76     0.14
    22   3.9565  34814.56     0.03    2244.72    -0.08
    23   3.9565  34814.51     0.06    2244.83     0.04
    24   4.1367  28907.67     0.08    2323.02     0.03
    25   4.1367  28907.31    -0.16    2323.05     0.05
    26   4.1367  28907.11    -0.24    2323.00    -0.03
    27   4.1832  27573.70     0.33    2636.34    -0.19
    28   4.9367  44040.65     0.01    2894.04     0.06

The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.

13VC72    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.805    39.814    39.796
ecceobj         0.257     0.257     0.257
incobj         13.333    13.333    13.333
qmin           27.917    27.909    27.848
qmax           51.503    51.451    51.784
amean          39.455    39.455    39.455
amin           39.011    39.025    39.039
amax           39.954    39.948    39.988
emean           0.245     0.245     0.246
emin            0.192     0.191     0.191
emax            0.292     0.291     0.295
imean          11.864    11.869    11.840
imin            9.213     9.229     9.154
imax           14.854    14.854    14.860
excite_mean     0.322     0.323     0.322
fracstop        1.000     1.000     1.000
cjmean          2.934     2.934     2.934

libcent 0       179.2     180.2     180.3
libamp  0        70.9      71.4      70.4
libcent 1      -180.0    -180.0    -180.0
libamp  1      -180.0    -180.0    -180.0
libcent 2      -180.0    -180.0    -180.0
libamp  2      -180.0    -180.0    -180.0
libcent 3      -180.0    -180.0    -180.0
libamp  3      -180.0    -180.0    -180.0
libcent 4      -180.0    -180.0    -180.0
libamp  4      -180.0    -180.0    -180.0

kozaimean       264.7     264.9     264.3
kozaiamp         64.3      64.2      64.7